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12121110101023 = 71123113412914669
BaseRepresentation
bin1011000001100010101001…
…1101100011110000011111
31120220202201000002200121121
42300120222131203300133
53042043013141213043
641440205555511411
72360502256621030
oct260305235436037
946822630080547
1012121110101023
113953596723290
12143919b2b8567
1369c028883461
142dc944532a87
151604705a4ded
hexb062a763c1f

12121110101023 has 64 divisors (see below), whose sum is σ = 15913565337600. Its totient is φ = 8951638671360.

The previous prime is 12121110101021. The next prime is 12121110101083. The reversal of 12121110101023 is 32010101112121.

It is a happy number.

12121110101023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121110101023 - 21 = 12121110101021 is a prime.

It is a super-2 number, since 2×121211101010232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121110100988 and 12121110101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121110101021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826300533 + ... + 826315201.

It is an arithmetic number, because the mean of its divisors is an integer number (248649458400).

Almost surely, 212121110101023 is an apocalyptic number.

12121110101023 is a deficient number, since it is larger than the sum of its proper divisors (3792455236577).

12121110101023 is a wasteful number, since it uses less digits than its factorization.

12121110101023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18952.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12121110101023 its reverse (32010101112121), we get a palindrome (44131211213144).

The spelling of 12121110101023 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, one hundred one thousand, twenty-three".

Divisors: 1 7 11 23 77 113 161 253 791 1243 1771 2599 4129 8701 14669 18193 28589 28903 45419 94967 102683 161359 200123 317933 337387 466577 664769 1044637 1129513 1657597 2361709 3266039 3711257 5132347 7312459 10731271 11603179 18233567 25978799 35926429 38124731 60568301 75118897 118043981 127634969 266873117 419372041 423978107 666251311 826307867 1393070923 2935604287 4663759177 6844218013 9751496461 15323780153 47909526091 75286398143 107266461071 157417014299 527004787001 1101919100093 1731587157289 12121110101023